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Prove that f(x)=x-sinx is an increasing ...

Prove that `f(x)=x-sinx` is an increasing function.

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Let C be a curve defined by y=e^(a+b x^2)dot The curve C passes throug...

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  2. If the line xcostheta+ysintheta=P is the normal to the curve (x+a)y=1...

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  3. Prove that f(x)=x-sinx is an increasing function.

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  4. Let f defined on [0, 1] be twice differentiable such that |f "(x)| ...

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  5. If the tangent at any point (4m^2,8m^2) of x^3-y^2=0 is a normal to th...

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  6. f(x) = cosx-2ax monotonically decreases when

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  7. If a , b are two real numbers with a<b then a real number c can be fo...

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  8. For the curve y=4x^3-2x^5,find all the points at which the tangent pa...

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  9. Separate the intervals of monotonocity of the function: f(x)=3x^4-8x^...

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  10. Column I, Column II A circular plate is expanded by heat from ra...

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  11. Find the total number of parallel tangents of f1(x)=x^2-x+1a n df2(x)=...

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  12. Separate the intervals of monotonocity of the function: f(x)=-sin^3x+...

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  13. The angle between the curves y^2 =4x+4 and y^2 =36(9−x) is?

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  14. Find the equation of the normal to the curve y=|x^2-|x||a t x=-2.

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  15. The ratio of capitals of three persons is 1:2:3 and the profit of 2nd ...

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  16. There is a point (p,q) on the graph of f(x)=x^(2) and a point (r,s) on...

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  17. Prove theat the tangent drawn at any point to the curve f(x)=x^(5)+3x^...

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  18. Show that height of the cylinder of greatest volume which can be ins...

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  19. A curve is defined parametrically by the the equation x=t^(2) and y=t^...

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  20. The equation of the tangent to the curve y={(x^2sin"1/x,xne0),(0,x=0):...

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